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11034298944 = 2632192359743
BaseRepresentation
bin10100100011011001…
…00000101001000000
31001110222222110112200
422101230200221000
5140044240031234
65022531153200
7540303664524
oct122154405100
931428873480
1011034298944
114752635129
12217b445800
13106b076296
1476967bd84
15448ab6d99
hex291b20a40

11034298944 has 336 divisors, whose sum is σ = 35376307200. Its totient is φ = 3272113152.

The previous prime is 11034298939. The next prime is 11034298949. The reversal of 11034298944 is 44989243011.

11034298944 is a `hidden beast` number, since 1 + 103 + 429 + 89 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (11034298939) and next prime (11034298949).

It is a self number, because there is not a number n which added to its sum of digits gives 11034298944.

It is not an unprimeable number, because it can be changed into a prime (11034298949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14850637 + ... + 14851379.

Almost surely, 211034298944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11034298944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17688153600).

11034298944 is an abundant number, since it is smaller than the sum of its proper divisors (24342008256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11034298944 is a wasteful number, since it uses less digits than its factorization.

11034298944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11034298944 in words is "eleven billion, thirty-four million, two hundred ninety-eight thousand, nine hundred forty-four".